The naked singularity in the global structure of critical collapse spacetimes

Details The naked singularity in the global structure of critical collapse spacetimes The naked singularity in the global structure of critical collapse spacetimes

2003-07-17

arxiv.org/abs/gr-qc/0307081v1

Phys.Rev. D68 (2003) 124024

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX 4; 6 pages, 7 figures

Scientific paper

10.1103/PhysRevD.68.124024

We examine the global structure of scalar field critical collapse spacetimes using a characteristic double-null code. It can integrate past the horizon without any coordinate problems, due to the careful choice of constraint equations used in the evolution. The limiting sequence of sub- and supercritical spacetimes presents an apparent paradox in the expected Penrose diagrams, which we address in this paper. We argue that the limiting spacetime converges pointwise to a unique limit for all r>0, but not uniformly. The r=0 line is different in the two limits. We interpret that the two different Penrose diagrams differ by a discontinuous gauge transformation. We conclude that the limiting spacetime possesses a singular event, with a future removable naked singularity.

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